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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#176906#7110. Kuririn MIRACLEpengpeng_fudanWA 24ms4132kbC++141.0kb2023-09-12 09:50:072023-09-12 09:50:08

Judging History

你现在查看的是最新测评结果

  • [2023-09-12 09:50:08]
  • 评测
  • 测评结果:WA
  • 用时:24ms
  • 内存:4132kb
  • [2023-09-12 09:50:07]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ull=unsigned long long;
using ll=long long;
const double eps=1e-8;
double v,d,r;
double f(double x){
    return sqrt(3+sin(x)*sin(x))+sin(x);
}
double simpson(double l,double r){
    return (r-l)*(f(l)+f(r)+4*f((l+r)/2))/6;
}
double asr(double l,double r,double ans){
    double m=(l+r)/2,a=simpson(l,m),b=simpson(m,r);
    if(fabs(a+b-ans)<eps)   return ans;
    return asr(l,m,a)+asr(m,r,b);
}
double check(double alfa){
	return	2.0*r/3*asr(0,alfa,simpson(0,alfa))-2.0*r/3*tan(alfa)*f(alfa)-(d+2*r/cos(alfa));
}
const double Pi=acos(-1);
void solve() {
	cin>>v>>r>>d;
	d-=2*r;
	double l=Pi/2,ri=Pi;
	while(fabs(l-ri)>eps){
		double mid=(l+ri)/2;
		//cout<<check(mid)<<'\n';
		if(check(mid)>=0)	l=mid;
		else ri=mid;
	}
	if(fabs(check(l))>eps)	printf("%.6f\n",(d+2*r)/v);
	else{
		printf("%.6f\n",(d+2*r/cos(l))/v);
	}
}

int main() {
	ios::sync_with_stdio(0),cin.tie(0);
	int _ = 1; 
	cin >> _;
	while(_--) solve();
	return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 4076kb

input:

1
2.00 3 30.0

output:

8.310580

result:

ok found '8.3105800', expected '8.3105799', error '0.0000000'

Test #2:

score: -100
Wrong Answer
time: 24ms
memory: 4132kb

input:

100
8.66 6.05 71.59
8.44 8.67 82.55
4.23 9.68 24.74
6.63 9.95 7.45
1.2 7.27 97.55
2.08 2.94 31.61
8.48 5.56 20.16
7.35 5.55 52.48
1.35 8.15 51.23
3.88 9.02 72.37
7.03 1.97 57.03
1.78 4.44 93.44
5.5 6.11 52.94
1.09 9.64 69.01
1.01 3.54 16.78
1.63 4.55 44.06
5.82 5.51 5.92
5.62 2.93 76.01
4.75 4.43 73...

output:

8.266744
5.488361
5.848700
1.123680
81.291667
15.197115
2.377358
7.140136
37.948148
18.652062
8.112376
52.494382
9.625455
63.311927
16.613861
27.030675
1.017182
13.524911
15.560000
8.858447
1.769764
4.541139
10.473186
5.620603
4.331615
3.147193
8.620545
2.331849
3.651811
3.654000
7.637681
4.686345
0...

result:

wrong answer 1st numbers differ - expected: '4.4578371', found: '8.2667440', error = '0.8544294'